D=Rt for D, if T=5 hours and R=65 mph

Answers

Answer 1
Answer: You multiply those and you get d = 325 m

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How do i find the slope of a line that passes through a given point and is parallel or perpendicular to another given point?

Answers


There's no such thing as parallel or perpendicular "to a point".  A problem like that
will always want the new line to be parallel or perpendicular to another line.

-- If the new line is parallel to the given line, then they have the same slope.

-- If the new line is perpendicular to the the given line, then the slope of the
new line is [ 1 / slope of the given line ].

In either case, you now have the slope of the new line and a point on it. 
From there, you should have no trouble finding its equation.


Parallel is same slope.
Perpendicular is same slope but you have make it opposite and flip it.
For example if your slope is 2/3. For Perpendicular it would be - 3/2.

If h(2) = 3 and h'(2) = -7, find d/dx(h(x)/x) x = 2.

Answers

Answer:   -17/4

Work Shown

\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{\frac{d}{d\text{x}}(h(\text{x}))*\text{x}-h(\text{x})*\frac{d}{d\text{x}}(\text{x})}{\text{x}^2} \ \text{ .... quotient rule}\n\n\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n

Evaluate that at x = 2.

\frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n=(h'(2)*2 - h(2))/(2^2)\n\n=(-7*2 - 3)/(2^2)\n\n=-(17)/(4)\n\n

Therefore,

\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right)=-(17)/(4) \ \text{ when h(2) = 3, h'(2) = -7, and x = 2}\n\n

A football coach gives half his players a protein bar to eat before each game; the other players do not receive the protein bar. After a month of games, he analyzes their playing stats. He concludes the protein bar helped improve their performance on the field. How can the coach test the means to be sure the results are not likely to happen by chance?A.He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.
B.He can pick players at random and analyze their playing stats without calculating means.
C.He can analyze the two groups by calculating the means and the difference of the means.
D.He can pick the players he wants to analyze based on the best stats.

Answers

Answer:

The answer is option A.

Step-by-step explanation:

How can the coach test the means to be sure the results are not likely to happen by chance?

A.He can re randomize the results by separating the two groups randomly, then calculate the means and the difference of the means. (This is because, in statistical data, it cannot happen by chance. It has to be a valid occurrence, nothing by chance.)

Answer:

A.He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.

Step-by-step explanation:

He can randomize again the players that are receiving the bar and those who are not, and then after that he can see if the results from the previous experiment were accurate or if they happened just by chance. In this way he can make sure that if the results with this two new groups after randomizing are the same that the bar is actually improving the players an edge on performance.

Can you name the trigonometric expression that is equivalent to the following expression 1/secant of x?

Answers

The answer to your question is:  Yes, I can.


You haven't asked for the trigonometric expression, but here it is anyway:

The  cosine  function is the reciprocal of the secant function.

14x=6y-12 put this in slope intercept form

Answers

Answer:

To put the equation 14x = 6y - 12 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate the y variable on one side of the equation.

Starting with 14x = 6y - 12, we can rearrange the equation as follows:

6y = 14x + 12

Dividing both sides of the equation by 6, we get:

y = (14/6)x + 2

Simplifying further, the equation can be written in slope-intercept form as:

y = (7/3)x + 2

So, the equation 14x = 6y - 12, in slope-intercept form, is y = (7/3)x + 2.

Abcd is a rectangle. Find the length of each diagonal. .AC= 3y/5 BD=3y-4

Answers

Answer:

AC = BD = 1 unit

Step-by-step explanation:

 Given : length of diagonal of rectangle ABCD  AC=(3y)/(5) and BD=3y-4

We have to find the length of diagonal.

We know In rectangle diagonal are of equal lengths.

Therefore, for rectangle ABCD diagonals AC= BD

Substitute the values, we get,

(3y)/(5)=3y-4

Cross multiply , we get

3y=5(3y-4)

On simplyfy , we get

3y=15y-20

Solve for y , we get

15y-3y=20

12y=20

Divide both side by 12, we get,

y=(20)/(12)=(10)/(6)

Thus, put the values of y in AC and BD to find the length of diagonals , we get,

AC=(3y)/(5)=(3)/(5)*(10)/(6)=1

Similarly for BC, we get,

BD=3y-4=3((10)/(6))-4=5-4=1

Thus, AC = BD = 1 unit

I hope this helps you